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Finding the Fourth Proportional to 2,188, 3,275.88 and 1,364.22

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Solution

The fourth proportional to 2,188, 3,275.88 and 1,364.22 is: 2,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188 : 3,275.88 = 1,364.22 : x
  2. Step 2: Convert to fraction form
    2,188/3,275.88 = 1,364.22/x
  3. Step 3: Cross multiply
    2,188x = 3,275.88 × 1,364.22
  4. Step 4: Simplify right side
    2,188x = 4,469,021.01
  5. Step 5: Solve for x
    x = 4,469,021.01/2,188
  6. Step 6: Final answer
    x = 2,042.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.